Question

1/(x²+x)(x-1)² in partial fraction​

Answer 1

1/(x²+x)(x-1)²

$\frac{1}{x(x + 1) {(x - 1)}^{2} }$

=

$\frac{1}{x} - \frac{1}{4(x + 1)} + \frac{3}{4(x - 1)} + \frac{1}{2 {(x - 1)}^{2} }$